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Finding the Third Proportional to 34,772.41 and 74,464.95

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Solution

The third proportional to 34,772.41 and 74,464.95 is: 159,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,772.41 : 74,464.95 = 74,464.95 : x
  2. Step 2: Convert to fraction form
    34,772.41/74,464.95 = 74,464.95/x
  3. Step 3: Cross multiply
    34,772.41x = 74,464.95 × 74,464.95
  4. Step 4: Simplify right side
    34,772.41x = 5,545,028,080.39
  5. Step 5: Solve for x
    x = 5,545,028,080.39/34,772.41
  6. Step 6: Final answer
    x = 159,466.30

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.